Question

Simplify the expression. Write your answers using integers or improper fractions.
5, left parenthesis, 2, c, plus, one quarter, c, minus, 2, right parenthesis, minus, 2, c
5(2c+
4
1
​
c−2)−2c

Answer 1

Start by combining like terms inside the parentheses:
2c + 1/4 c = 9/4 c.

So 5(2c + 1/4 c - 2) - 2c = 5(9/4 c - 2) - 2c
= 45/4 c - 10 - 2c
= 45/4 c - 8/4 c - 10
= 37/4 c - 10.

Answer: 37/4 c - 10.